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1311010130101 = 73531663319037
BaseRepresentation
bin10011000100111110010…
…010110000100010110101
311122022221112212000100111
4103010332102300202311
5132434422043130401
62442134132543021
7163501024145140
oct23047622604265
94568845760314
101311010130101
11465aa6049971
121920ba781a71
139682115a919
144764b935057
1524180815e51
hex1313e4b08b5

1311010130101 has 16 divisors (see below), whose sum is σ = 1503449985024. Its totient is φ = 1119862301184.

The previous prime is 1311010130083. The next prime is 1311010130117. The reversal of 1311010130101 is 1010310101131.

It is a cyclic number.

It is not a de Polignac number, because 1311010130101 - 215 = 1311010097333 is a prime.

It is a super-2 number, since 2×13110101301012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311010130141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3949755 + ... + 4268791.

It is an arithmetic number, because the mean of its divisors is an integer number (93965624064).

Almost surely, 21311010130101 is an apocalyptic number.

It is an amenable number.

1311010130101 is a deficient number, since it is larger than the sum of its proper divisors (192439854923).

1311010130101 is a wasteful number, since it uses less digits than its factorization.

1311010130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321060.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1311010130101 its reverse (1010310101131), we get a palindrome (2321320231232).

The spelling of 1311010130101 in words is "one trillion, three hundred eleven billion, ten million, one hundred thirty thousand, one hundred one".

Divisors: 1 7 353 1663 2471 11641 319037 587039 2233259 4109273 112620061 530558531 788340427 3713909717 187287161443 1311010130101